| Autor: |
Irina Pchelintseva |
| Jazyk: |
angličtina |
| Rok vydání: |
2008 |
| Předmět: |
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| Zdroj: |
Opuscula Mathematica, Vol 28, Iss 2, Pp 137-150 (2008) |
| Druh dokumentu: |
article |
| ISSN: |
1232-9274 |
| Popis: |
We consider self-adjoint unbounded Jacobi matrices with diagonal \(q_n = b_{n}n\) and off-diagonal entries \(\lambda_n = n\), where \(b_{n}\) is a \(2\)-periodical sequence of real numbers. The parameter space is decomposed into several separate regions, where the spectrum of the operator is either purely absolutely continuous or discrete. We study the situation where the spectral phase transition occurs, namely the case of \(b_{1}b_{2} = 4\). The main motive of the paper is the investigation of asymptotics of generalized eigenvectors of the Jacobi matrix. The pure point part of the spectrum is analyzed in detail. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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